343328628960 has 864 divisors, whose sum is σ = 1310735986560. Its totient is φ = 81561489408.

The previous prime is 343328628871. The next prime is 343328628967. The reversal of 343328628960 is 69826823343.

343328628960 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 2 + 8 + 628 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 343328628897 and 343328628906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343328628967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 989419507 + ... + 989419853.

It is an arithmetic number, because the mean of its divisors is an integer number (1517055540).

Almost surely, 2^343328628960 is an apocalyptic number.

343328628960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343328628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655367993280).

343328628960 is an abundant number, since it is smaller than the sum of its proper divisors (967407357600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

343328628960 is a wasteful number, since it uses less digits than its factorization.

343328628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 343328628960 in words is "three hundred forty-three billion, three hundred twenty-eight million, six hundred twenty-eight thousand, nine hundred sixty".